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Adaptive interface-Mesh un-Refinement (AiMuR) based sharp-interface level-set-method for two-phase flow

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Abstract

Adaptive interface-Mesh un-Refinement (AiMuR) based Sharp-Interface Level-Set-Method (SI-LSM) is proposed for both uniform and non-uniform Cartesian-Grid. The AiMuR involves interface location based dynamic un-refinement (with merging of the four control volumes) of the Cartesian grid away from the interface. The un-refinement is proposed for the interface solver only. A detailed numerical methodology is presented for the AiMuR and ghost-fluid method based SI-LSM. Advantage of the novel as compared to the traditional SI-LSM is demonstrated with a detailed qualitative as well as quantitative performance study, involving the SI-LSMs on both coarse grid and fine grid, for three sufficiently different two-phase flow problems: dam break, breakup of a liquid jet and drop coalescence. A superior performance of AiMuR based SI-LSM is demonstrated - the AiMuR on a coarser non-uniform grid (\(NU_{c}^{AiMuR}\)) is almost as accurate as the traditional SI-LSM on a uniform fine grid (\(U_{f}\)) and takes a computational time almost same as that by the traditional SI-LSM on a uniform coarse grid (\(U_{c}\)). The AMuR is different from the existing Adaptive Mesh Refinement (AMR) as the former involves only mesh un-refinement while the later involves both refinement and un-refinement of the mesh. Moreover, the proposed computational development is significant since the present adaptive un-refinement strategy is much simpler to implement as compared to that for the commonly used adaptive refinement strategies. The proposed numerical development can be extended to various other multi-physics, multi-disciplinary and multi-scale problems involving interfaces.

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Acknowledgements

The present work is a part of a research project funded by department of science and technology India, under grant number DST/TSG/AMT/2015/332. The first author would like to acknowledge the fellowship received from Indian Institute of Technology Bombay as a part of the IRCC Research Internship Award; and the support received from the Institute of Technology, Nirma University, enabling this collaborative work.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Nirma University, Ahmedabad, India

    Kuntal Patel & Absar Lakdawala

  2. Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai, India

    Kuntal Patel, Javed Shaikh & Atul Sharma

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  1. Kuntal Patel
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Correspondence to Atul Sharma.

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Patel, K., Shaikh, J., Lakdawala, A. et al. Adaptive interface-Mesh un-Refinement (AiMuR) based sharp-interface level-set-method for two-phase flow. Sādhanā 48, 22 (2023). https://doi.org/10.1007/s12046-022-02074-z

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